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• W2397321582 abstract "We consider the inverse problem of detecting the location and the shape of several obstacles immersed in a fluid flowing in a larger bounded domain $Omega$ from partial boundary measurements in the two dimensional case. The fluid flow is governed by the steady-state Stokes equations. We use a topological sensitivity analysis for the Kohn-Vogelius functional in order to find the number and the qualitative location of the objects. Then we explore the numerical possibilities of this approach and also present a numerical method which combines the topological gradient algorithm with the classical geometric shape gradient algorithm; this blending method allows to find the number of objects, their relative location and their approximate shape." @default.
• W2397321582 created "2016-06-24" @default.
• W2397321582 creator A5035196842 @default.
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• W2397321582 date "2016-05-01" @default.
• W2397321582 modified "2023-10-12" @default.
• W2397321582 title "On the detection of several obstacles in 2D Stokes flow: Topological sensitivity and combination with shape derivatives" @default.
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• W2397321582 doi "https://doi.org/10.3934/ipi.2016003" @default.
• W2397321582 hasPublicationYear "2016" @default.
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